查询词典 function of functions

This is my last OpenGL for a project to use the "three-dimensional vector space / point" and related functions, they can use a definition of space vector / points, for the vector translation, zooming and rotation, the use of correlation function can also achieve two vector by the fork, get a Vectors absolute length of a vector unit, received a 3:00 decision vector perpendicular to the plane, a space to be the distance between two points, two vector to be the plot points, to be the angle between two vectors, such as operating for the use of user-friendly, each function is detailed Notes, it is particularly important if the calculation vector plot points, fork also took note, we hope to have useful.

这是我过去进行一个OpenGL项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，特别重要的向量计算如点积，叉乘还有相关说明，希望对大家有所用处。

Let G be the domain whose inverse image is the cross section of u definedin (H1) where the mapping is affine,g and ψ are smooth functions and g＞0,thenthere is a unique smooth convex-monotone function which satisfies the followingproblem 〓Furthermore,if 〓 where C is a constant,ψis an affine function,〓 is astrictly interior sub-domain of G in the sense of"parabolic distance",then

若G为按（H1）中定义的u的截影经仿射变换而得的区域，g和〓为光滑函数且〓，则〓存在惟一的凸单调光滑解。若〓常数，〓仿射函数，〓为G在"抛物距离"下的严格内子域，则

The hot air furnace is a kind of energy conservation type furnace, composed of burner, furnace chamber, mixing room, hot air outlet and outside jacket, the diluted air in the jacket has two functions, firstly, having insulation purpose: the air belongs to inert gas, it has good insulation function for furnace body, can reach to purpose to cool/protect inside lining and reduce its thickness of furnace chamber; secondly, having preheating function: the gas in the jacket is contacted with hige temperature furnace wall, and enters the mixing room after heat absorption, then to teach the purpose of preheating and energy conservation.

热风炉由燃烧器、炉膛、混合室、热风出口和外夹套构成，是一种节能型炉型，夹套中的稀释空气有两种作用，其一，保温作用：空气属惰性气体类，对炉体有良好的保温作用，达到冷却保护和减薄炉膛内衬的目的；其二，预热作用：气体在夹套中与高温炉壁相接触，吸热后进入混合室，达到了预热节能的目的。

The paper consists of two parts: one part concerns on the applications of almost periodic type functions, the other part concerns on remotely almost periodic function and slowly oscillating function and their applications.

本文主要包括两部分内容：一部分是关于概周期型函数应用的，另一部分是关于遥远概周期函数和缓慢振动函数及其应用的。

Content: In this thesis, we investigate properties and coefficients maximum problem of some analytic functions in function theory, the research center is univalent function.

中文摘要：本文研究了函数论中几类解析函数族的性质和系数的最值问题，主要以单叶函数为研究对象，不仅对一些结果进行了推广，同时也获得了一些新结果。

Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法，它将密码学方案的安全性归约为公认的计算难题，已成为现代密码学领域中理论工作的主线，本文主要研究公钥加密与单双钥混合加密的可证明安全性，这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造，而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法，本文得到的主要结果如下：(1)在研究NTRU公钥加密的特殊性基础上，对于公钥加密的陷门单向函数加密模型进行了扩展，提出了具有辅助陷门单向函数的概念，并将其扩展到多元的情况，讨论了可能的密码学用途。

It includes the exponential function, the trigonometric functions, and the inverse functions of both.

超越函数的值，通常需要无穷多个计算步骤才能求得。

Not only C\C++ functions and functions in toolboxes can be transferred, but also the powerful graphic function can be used in the way of MATAB engine.

它集数值分析、矩阵运算、信号处理和图形显示于一体，构成了一个方便的i界面友好的用户环境。

This dissertation fistly introduces appearance, definition, development process, functions and status of MES, also analyses methods and existent problems of MES production scheduling; as follow, in the background of CY_MES (a enterprise's Manufacturing Execution System), introduces main function and buildup of its support platform– SIMATIC IT, and whole structure of CY_MES; afterwards, for special production instance of the enterprise, designs production scheduling system software structure, function structure, data structure of order and entry and realization of silk production and packing production scheduling based on SIMATIC IT; finally, after contrast of many modeling methods and careful research of silk production flow of the enterprise, selects Petri net to model the silk production scheduling, for the sake of avoiding many error chromosomes, improves on the basic genetic algorithm, uses sigle unit genetic algorithm to optimize the Petri net model, lists the contrast of scheduling results.

本文首先介绍了MES的产生、定义、发展历程、功能及其发展现状，同时也分析了MES生产调度问题的各种解决方法及其存在的问题；接着以CY_MES为背景介绍了其支撑平台——SIMATIC IT平台的功能及其各组成部分，以及CY_MES的SIMATIC IT整体解决方案；紧接着在SIMATIC IT平台基础上，针对该烟厂的生产实际情况，设计了CY_MES生产调度系统的软件结构、功能结构、工单和子工单的数据结构和制丝与卷包生产调度的实现方式；最后，在比较了各种生产调度建模方法的利弊和对该烟厂制丝生产工艺流程深入研究后，利用Petri网建立了制丝生产调度模型，为了避免大量无效个体的出现，对基本遗传算法进行了改进，采用单个体遗传算法对这个Petri网模型进行了优化，并给出了调度结果的对比。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。